MinT - Information on Result #1179013

Information on Result #1179013

Digital (8, 11, 43876)-net over F₅, using net defined by OOA based on linear OOA(5¹¹, 43876, F₅, 3, 3) (dual of [(43876, 3), 131617, 4]-NRT-code), using

appending kth column [i] based on linear OOA(5¹¹, 43876, F₅, 2, 3) (dual of [(43876, 2), 87741, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5¹¹, 43876, F₅, 3) (dual of [43876, 43865, 4]-code or 43876-cap in PG(10,5)), using
  - product of projective cap with cap in AG(4,Â 5) [i] based on linear OA(5⁷, 675, F₅, 3) (dual of [675, 668, 4]-code or 675-cap in PG(6,5)), using
    - product of two caps with tangent hyperplane [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (57, 63, 5636278)-net over F₅	[i]	(u,Â u+v)-Construction for Nets
2	Digital (66, 73, 5636276)-net over F₅	[i]	(u,Â u+v)-Construction for Nets
3	Digital (137, 147, 6754768)-net over F₅	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (138, 148, 6754793)-net over F₅	[i]
5	Digital (139, 149, 6754818)-net over F₅	[i]
6	Digital (139, 149, 6754918)-net over F₅	[i]
7	Digital (140, 150, 6754943)-net over F₅	[i]
8	Digital (140, 150, 6755543)-net over F₅	[i]
9	Digital (135, 145, 6754762)-net over F₅	[i]
10	Digital (136, 146, 6754787)-net over F₅	[i]
11	Digital (137, 147, 6754912)-net over F₅	[i]
12	Digital (133, 143, 6754756)-net over F₅	[i]